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Finding the Fourth Proportional to 680.79, 937.74 and 533.16

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Solution

The fourth proportional to 680.79, 937.74 and 533.16 is: 734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.79 : 937.74 = 533.16 : x
  2. Step 2: Convert to fraction form
    680.79/937.74 = 533.16/x
  3. Step 3: Cross multiply
    680.79x = 937.74 × 533.16
  4. Step 4: Simplify right side
    680.79x = 499,965.46
  5. Step 5: Solve for x
    x = 499,965.46/680.79
  6. Step 6: Final answer
    x = 734.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.